Search a number
-
+
540040 = 23523587
BaseRepresentation
bin10000011110110001000
31000102210111
42003312020
5114240130
615324104
74406314
oct2036610
91012714
10540040
11339816
12220634
1315ba67
14100b44
15aa02a
hex83d88

540040 has 32 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 206272.

The previous prime is 539993. The next prime is 540041. The reversal of 540040 is 40045.

It is a self number, because there is not a number n which added to its sum of digits gives 540040.

It is not an unprimeable number, because it can be changed into a prime (540041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2540040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

540040 is an abundant number, since it is smaller than the sum of its proper divisors (730040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540040 is a wasteful number, since it uses less digits than its factorization.

540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 540040 is about 734.8741388837. The cubic root of 540040 is about 81.4345391279.

Adding to 540040 its reverse (40045), we get a palindrome (580085).

It can be divided in two parts, 5400 and 40, that multiplied together give a cube (216000 = 603).

The spelling of 540040 in words is "five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 587 920 1174 2348 2935 4696 5870 11740 13501 23480 27002 54004 67505 108008 135010 270020 540040